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Simplifying 46x + -3 = 9x + (34x + 6) Reorder the terms: -3 + 46x = 9x + (34x + 6) Reorder the terms: -3 + 46x = 9x + (6 + 34x) Remove parenthesis around (6 + 34x) -3 + 46x = 9x + 6 + 34x Reorder the terms: -3 + 46x = 6 + 9x + 34x Combine like terms: 9x + 34x = 43x -3 + 46x = 6 + 43x Solving -3 + 46x = 6 + 43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43x' to each side of the equation. -3 + 46x + -43x = 6 + 43x + -43x Combine like terms: 46x + -43x = 3x -3 + 3x = 6 + 43x + -43x Combine like terms: 43x + -43x = 0 -3 + 3x = 6 + 0 -3 + 3x = 6 Add '3' to each side of the equation. -3 + 3 + 3x = 6 + 3 Combine like terms: -3 + 3 = 0 0 + 3x = 6 + 3 3x = 6 + 3 Combine like terms: 6 + 3 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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